3736836 has 18 divisors (see below), whose sum is σ = 9445982. Its totient is φ = 1245600.

The previous prime is 3736823. The next prime is 3736841. The reversal of 3736836 is 6386373.

It can be written as a sum of positive squares in only one way, i.e., 3218436 + 518400 = 1794^2 + 720^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 103801 = 3736836 / (3 + 7 + 3 + 6 + 8 + 3 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 3736836.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 51865 + ... + 51936.

Almost surely, 2^3736836 is an apocalyptic number.

3736836 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3736836 is an abundant number, since it is smaller than the sum of its proper divisors (5709146).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3736836 is a wasteful number, since it uses less digits than its factorization.

3736836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103811 (or 103806 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 3736836 is about 1933.0897547708. The cubic root of 3736836 is about 155.1796183424.

The spelling of 3736836 in words is "three million, seven hundred thirty-six thousand, eight hundred thirty-six".